If , then the value of , is Note: denotes the greatest integer less than or equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

\lim_{x \rightarrow 0} \left( \left[ \frac{\sin^{-1} x}{x} \right] + \left[ \frac{2^2 \sin^{-1} 2x}{x} \right] + \left[ \frac{3^2 \sin^{-1} 3x}{x} \right] + \dots + \left[ \frac{n^2 \sin^{-1} nx}{x} \right] \right) = 100

, then the value of

n

, is Note:

[k]

denotes the greatest integer less than or equal to

k

(a)

2

(b)

3

(c)

4

(d)

5